Submission #1275103

#TimeUsernameProblemLanguageResultExecution timeMemory
1275103almazBank (IZhO14_bank)C++20
71 / 100
1096 ms38820 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long

void solve() {
    int n, m;
    cin >> n >> m;
    vector<int> a(n), b(m);
    for (int &x : a) cin >> x;
    for (int &x : b) cin >> x;

    // все подмножества b
    vector<pair<int,int>> subs; // {sum, mask}
    for (int mask = 1; mask < (1 << m); mask++) {
        int sum = 0;
        for (int j = 0; j < m; j++)
            if (mask & (1 << j)) sum += b[j];
        subs.push_back({sum, mask});
    }

    // сгруппируем по сумме
    unordered_map<int, vector<int>> by_sum;
    for (auto [s, mask] : subs) by_sum[s].push_back(mask);

    // DP: возможные наборы масок b
    set<int> cur;
    cur.insert(0); // пустое множество

    for (int need : a) {
        set<int> nxt;
        for (int mask : by_sum[need]) {
            for (int used : cur) {
                if ((used & mask) == 0) {
                    nxt.insert(used | mask);
                }
            }
        }
        cur.swap(nxt);
    }

    cout << (cur.empty() ? "NO\n" : "YES\n");
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
}
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